Question

11. After combining like terms to simplify the equation 3−15x+24+16x=4x−24−4x , what would be the next best step to finish solving?(1 point) Responses Subtract 24 from both sides of the equation. Subtract 24 from both sides of the equation. Subtract 27 from both sides of the equation. Subtract 27 from both sides of the equation. Subtract x from both sides of the equation. Subtract x from both sides of the equation. Divide both sides of the equation by 15. Divide both sides of the equation by 15. Add x to both sides of the equation.

Answer 1

Let's first simplify the given equation step-by-step:

1. **Combine like terms on the left side:**
\[
3 - 15x + 24 + 16x = (3 + 24) + (-15x + 16x) = 27 + x
\]

2. **On the right side, we have:**
\[
4x - 24 - 4x = 0 - 24 = -24
\]

Now, the equation is simplified to:
\[
27 + x = -24
\]

Next, to isolate \(x\), the next best step is to subtract 27 from both sides:
\[
x = -24 - 27
\]

Thus, the correct next step among the options provided is:
**Subtract 27 from both sides of the equation.**